Summary
A nonlinear elliptic control problem with pointwise control-state constraints is considered. Existence of regular Lagrange multipliers, first-order necessary and and second-order sufficient optimality conditions are derived. The theory is verified by numerical examples.
Supported by the DFG Research Center “Mathematics for key technologies” (FZT 86) in Berlin.
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© 2006 Springer-Verlag Berlin Heidelberg
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Meyer, C., Tröltzsch, F. (2006). On an Elliptic Optimal Control Problem with Pointwise Mixed Control-State Constraints. In: Seeger, A. (eds) Recent Advances in Optimization. Lecture Notes in Economics and Mathematical Systems, vol 563. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28258-0_12
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DOI: https://doi.org/10.1007/3-540-28258-0_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28257-0
Online ISBN: 978-3-540-28258-7
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